Greatest Common Factor of 760/17, 292/38, 343/59

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 760/17, 292/38, 343/59

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 760/17,292/38,343/59

Given fractions are 760/17,292/38,343/59

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 760,292,343

Greatest Common Factor of Numerators i.e. GCF of 760,292,343 is 1 .

LCM of Denominators means LCM of 17,38,59 as per the given fractions.

LCM of 17,38,59 is 38114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 760,292,343

GCF of Fractions 760/17,292/38,343/59 is 1/38114

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 760,292,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,292,343 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 760,292,343 . The biggest common factor number is the GCF number.
So the greatest common factor 760,292,343 is 1.

Lets's calculate LCM of 17,38,59

Given numbers has no common factors except 1. So, there LCM is their product i.e 38114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38114

Therefore, the GCF of Fractions 760/17,292/38,343/59 is 1/38114

Least Common Multiple of 17,38,59 with GCF Formula

Least Common Multiple of 17,38,59 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 17,38,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,38,59) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(17,38,59) x common factors =1 x 1 = 1

LCM(17,38,59) = ( 17 × 38 × 59 ) / 1

LCM(17,38,59) = 38114 / 1

LCM(17,38,59) = 38114


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 760/17, 292/38, 343/59

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 760/17, 292/38, 343/59?

Answer: GCF of Numerators as per given numbers 760/17, 292/38, 343/59 is

GCF of Numerators i.e. for 760,292,343 is 1

LCM of denominators i.e. for 17,38,59 is 38114.

Thus, GCF of Fractions is 1/38114.Finally, GCF of Fractions for 760/17, 292/38, 343/59 is 1/38114.